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Finding the Fourth Proportional to 285,970.51, 428,944.98 and 86,285.57

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Solution

The fourth proportional to 285,970.51, 428,944.98 and 86,285.57 is: 129,425.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,970.51 : 428,944.98 = 86,285.57 : x
  2. Step 2: Convert to fraction form
    285,970.51/428,944.98 = 86,285.57/x
  3. Step 3: Cross multiply
    285,970.51x = 428,944.98 × 86,285.57
  4. Step 4: Simplify right side
    285,970.51x = 37,011,760,276.78
  5. Step 5: Solve for x
    x = 37,011,760,276.78/285,970.51
  6. Step 6: Final answer
    x = 129,425.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.